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Finding the Fourth Proportional to 33.64, 46.42 and 23.29

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Solution

The fourth proportional to 33.64, 46.42 and 23.29 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 46.42 = 23.29 : x
  2. Step 2: Convert to fraction form
    33.64/46.42 = 23.29/x
  3. Step 3: Cross multiply
    33.64x = 46.42 × 23.29
  4. Step 4: Simplify right side
    33.64x = 1,080.95
  5. Step 5: Solve for x
    x = 1,080.95/33.64
  6. Step 6: Final answer
    x = 32.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.